MaplePrimes Questions

I am trying to solve a matrix system to find the relative arrival rates of a queueing network using Gauss-Seidel.The maple commands are below:

restart;
with(Student[NumericalAnalysis]); with(LinearAlgebra);

A := Matrix([[1, -.333, -.333, -.333], [0, 1, -.333, -.333], [0, -.333, 1, -.333], [0, -.333, -.333, 1]]);

IsDefinite(A, 'query' = 'positive_semidefinite');

true

b := Vector([1, 1, 1, 1]);


IterativeApproximate(A, initialapprox = Vector([1, 1, 1, 1]), tolerance = 10^(-3), maxiterations = 20, stoppingcriterion = relative(infinity), method = gaussseidel);


Error, (in Student:-NumericalAnalysis:-IterativeApproximate) check that the augmented matrix has the correct dimensions

I do not understand this error as the matrix is 4x4 as shown. Can anyone see where I went wrong?

 

I am currently working on an adaptive question in Maple TA 2016 and it seems that there is a bug in the drop - down list functionality: 

After I click "Verify" in a section, the answer disappears even though I choose it to be displayed. The window simply goes back to showing (Click for List) instead of keeping the answer, see the screenshot below.

 

Perhaps I am doing something wrong, though I have used Lists extensively in the previous version and never had that problem ..

 

Thanks for your  help!

Elisabeth

 

 


 Hello every one,how do i integrate from this expression?

``

restart

ode := (1+B*T(x))*(diff(T(x), x, x))-M^2*T(x)^(n+1)+B*(diff(T(x), x))^2;

(1+B*T(x))*(diff(diff(T(x), x), x))-M^2*T(x)^(n+1)+B*(diff(T(x), x))^2

(1)

``

 

Download integral.mw

 

 

Hello,

I have a number of outputs, and I want to put them into an Array witrhout specifying the index of the array, is there a way I can put all of them at once without putting them one by one? I am currently using Append, is there any other way other than Append?

I have Maple 2016 loaded on a MacBook Pro running the El Capitan operating system. What is the keyboard button sequence for typing a Greek letter?

Thanks

Tom

I have been in touch with Maplesoft trying to get this version for windows (they are not able to create a download for this). I have codes that used to run in Maple 6 but not in Maple 7 or later. (Maple V should work as well).

If you any of have this version, please let me know if I can try it out for a limited time (I have always had licenses from Maple V Release 3 or 4).

I am not able to post those codes for obvious confidentiality reasons.

 

Thanks

 

(I tried my code in Maple 7, but no use). 

Assume i got an equation like f(x):=2*x-tan(x); how to us solve or other function to give me that this equation got 2 root: x=1/2*(tan(x)) and x=arctan(2x).

^^ hope everyone can help.

Thank for spend time reading.

When using seq function below in the second call, it does not generate a sequence of functions with 'a' being 1, 2, and 3, and I had expected. 

First seq function call is just to show that it works without the function "x ->" wrapping.

I could of couse use unapply as in the third call, but I had expected the second call to work.

Am I doing anything wrong, or is this a Maple bug?

Trying to understand how Maple works, I wanted to read the documentation.

For the "plot" statements, there is a "view" option, and I found the build in documentation in version 2016 to say:

So based on this a list should be given with two range elements, and not other valid option format was described.

However, based on examples I fould, it appeas that a single range element (giving the Y range I guess) is also valid, like in:

Where am I missign the elaborate documentation that describes the legal option type?  Or is Maple programming just some kind of guess and try hacker language ? ;-)

Below I want to explore a function behaviour using a slider to determine the value of 'a' so the function is shown in a plot, but I can't figure out how to use Explore to bind the value of 'a'.

If I bind bind the value using "a := 5", then plot works, but when binding through Explore it does not work.  I can also write the function in the plot like "a * x", but that is not as general as using a function.

How to explore function like that.

Hi,

I have this program which when I run gives me five unique matrices as I want it. I however, when I run it again the enries of the matrices changes and I get 5 identical matrices, how can I prevent this from happening?

Vic

I am trying to solve an optimization problem but I am getting an error message which does not make sense.

 

I have a procedure file called f. The decsiion vector is x[1..4]. and returns the objective function value Ls.

I then specify the constraints as a set and ask it to optimize

constraints:={x[1]+x[2]+x[3]+x[4]=65,x[1]<=20,x[2]<=15,x[3]<=20,x[4]<=15};

sol := NLPSolve( f,constraints, assume=nonnegative,minimize);

Error, (in Optimization:-NLPSolve) constraints must be specified as a set or list of procedures

 

This error makes no sense to me. Can anyone help?


 Hello,every one,i want to solve system of equations but i recieve an error ,how can i find the coeffecients c1,c2,c3,c4?thank.

``

restart

``

``

A := 45*x*c4+72*c3 = 0:

 

B := 56*c2*c4+28*c3^2 = 0:

C := M^2*(-x^5*c4-x^4*c3-x^3*c2-x^2*c1+c1+c2+c3+c4+1)^n*c4+42*beta*c1*c4+42*beta*c2*c3 = 0:

E := M^2*(-x^5*c4-x^4*c3-x^3*c2-x^2*c1+c1+c2+c3+c4+1)^n*c3+30*beta*c1*c3+15*beta*c2 = 0:

F := M^2*(-x^5*c4-x^4*c3-x^3*c2-x^2*c1+c1+c2+c3+c4+1)^n*c2+20*beta*c1*c2-20*beta*c1*c4-20*beta*c2*c4-20*beta*c3*c4-20*beta*c4^2-20*beta*c4-20*c4 = 0:

G := M^2*(-x^5*c4-x^4*c3-x^3*c2-x^2*c1+c1+c2+c3+c4+1)^n*c1+6*beta*c1^2-12*beta*c1*c3-12*beta*c2*c3-12*beta*c3^2-12*beta*c3*c4-12*beta*c3-12*c3 = 0:

``

beta*c1+beta*c2^2+beta*c2*c3+beta*c2*c4+beta*c2+c2 = 0:

M^2*(-x^5*c4-x^4*c3-x^3*c2-x^2*c1+c1+c2+c3+c4+1)^n = 0:

with(SolveTools):

``

PolynomialSystem({{45*c4*x+72*c3 = 0}, {30*beta*c1*c3+15*beta*c2 = 0}, {42*beta*c1*c4+42*beta*c2*c3 = 0}, {20*beta*c1*c2-20*beta*c1*c4-20*beta*c2*c4-20*beta*c3*c4-20*beta*c4^2-20*beta*c4-20*c4 = 0}, {6*beta*c1^2-12*beta*c1*c3-12*beta*c2*c3-12*beta*c3^2-12*beta*c3*c4-12*beta*c3-12*c3 = 0}}, {c1, c2, c3, c4}, {beta = 2, x = 1/5})

Error, invalid input: too many and/or wrong type of arguments passed to SolveTools:-PolynomialSystem; first unused argument is {beta = 2, x = 1/5}

 

NULL

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Download Numerical.mw

Hi,

Here is my question.


restart

convert(diff(lambda(t-t1), t), diff)

eval(diff(lambda(t2), t2), {t2 = t-t1})

(1)

subs(lamda(t-t1) = sin(t-t1), %)

eval(diff(lambda(t2), t2), {t2 = t-t1})

(2)

``

I am trying to substitute value of lambda(t-t1) further but it is not taking the value.

Thanks in advance.

Regards

Sunit

Download question2.mw

#Hello people in Mapleprimes,

#After

restart;interface(typesetting=extended);

diff(f(x),x);

#shows f'(x).

#But,

diff(f(t1),t1);

#shows just df(t1)/dt1, not f'(t).

#Can't I show f'(t1) not df(t1)/dt1?

#Is this a way peculiar to Maple?

#I hope someone could give me some hints.

 

#Best wishes.

#taro

 

 

 

 

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